To identify the false statement about the set of data provided, let's consider each option:
a. The data set is too small to be made into a histogram.
- This statement is generally true. Histograms are typically used for larger data sets to visualize distribution, and a set of only six data points may not form a meaningful histogram.
b. The data set is small enough that the individual numbers can be examined.
- This statement is true. With only six data points, it makes sense to examine each value individually.
c. The data set is not large enough for a histogram to reveal the true nature of the distribution.
- This statement is also generally true. A small data set may not provide a clear representation of distribution through a histogram.
d. The histogram will be a repeat of the individual numbers.
- This statement is false. A histogram represents frequencies of values in specified ranges (bins), and it does not merely repeat the individual numbers but aggregates them into intervals.
Therefore, the false statement about the set of data is: d. The histogram will be a repeat of the individual numbers.
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